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Math

Fraction Calculator

Compare two rational numbers, perform arithmetic, and get the simplified fraction plus decimal equivalent.

rationalfractionsimplify
Fraction Calculator

Add, subtract, multiply, or divide rational numbers with automatic simplification.

Simplified
1 3/20
Decimal
1.15

Fraction arithmetic

a⁄b ⊕ c⁄d = (ad ⊕ bc) ⁄ bd

The calculator finds a common denominator, performs the chosen operation, and simplifies the result by dividing numerator and denominator by their greatest common divisor.

How to use

  1. Enter the numerators and denominators for Fraction A and Fraction B.
  2. Pick the operation (add, subtract, multiply, divide).
  3. Review the simplified fraction and decimal approximation in the results panel.

Example

Input: Fraction A = 3/4, Fraction B = 2/5, Operation = Add

Output: Simplified = 23/20, Decimal = 1.15

Student-friendly breakdown

This walkthrough emphasizes the most searched ideas for Fraction Calculator: fraction calculator, fraction simplifier, fraction calculator online, improper fraction calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.

Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic — each one is a quick way to double-check your work or handle a related question without starting from scratch.

Step-by-step guideSee instructions, classroom tips, and practice prompts.Worked examplesReview the walk-through example plus try-it-yourself prompts.Category hubBrowse every tool in this category from one page.Scientific CalculatorTrig, logs, exponentials, and powers with degree/radian toggles.Triangle CalculatorSolve triangle perimeter, area, and internal angles from three sides.Quadratic SolverRoots, discriminant, and root nature for quadratic equations.Prime FactorizationBreak integers into ordered prime factors.

Deep dive & study plan

Fraction Calculator: Operate on rational numbers with automatic simplification. It's built around rational, fraction, simplify, so you can go from a raw question to a checked answer without switching tools.

The math behind it: The calculator finds a common denominator, performs the chosen operation, and simplifies the result by dividing numerator and denominator by their greatest common divisor. The core relationship is a⁄b ⊕ c⁄d = (ad ⊕ bc) ⁄ bd, shown above the calculator so you can see exactly how your inputs turn into the result.

To use it well: (1) Enter the numerators and denominators for Fraction A and Fraction B. (2) Pick the operation (add, subtract, multiply, divide). (3) Review the simplified fraction and decimal approximation in the results panel. Keep your units consistent as you go, and re-run a case you already know the answer to — it's the fastest way to catch a typo before it throws off a result you're relying on.

Worked example: entering Fraction A = 3/4, Fraction B = 2/5, Operation = Add returns Simplified = 23/20, Decimal = 1.15. Try swapping in your own numbers next, especially a case you're unsure about, before you use this for something that matters.

Quick retention checklist

  • Speak the formula aloud (or annotate it) so the relationships stick.
  • Write each step in your own words and compare with the numbered list above.
  • Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
  • Check at least one related calculator below — it's the fastest way to confirm your numbers still line up from a different angle.

FAQ & notes

What happens if I enter a zero denominator?

The calculator blocks invalid fractions by marking the result as undefined until both denominators are non-zero.

Does the tool reduce improper fractions?

Yes. Every result is simplified—improper fractions remain improper but are presented in lowest terms alongside a decimal.

What formula does the Fraction Calculator use?

The calculator finds a common denominator, performs the chosen operation, and simplifies the result by dividing numerator and denominator by their greatest common divisor.

How do I use the Fraction Calculator?

Enter the numerators and denominators for Fraction A and Fraction B. Pick the operation (add, subtract, multiply, divide). Review the simplified fraction and decimal approximation in the results panel.